Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions |
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Authors: | Rosihan M Ali See Keong Lee Shamani Supramaniam |
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Institution: | a School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysiab Department of Mathematics, University of Delhi, Delhi-110 007, India |
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Abstract: | Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g=f−1 satisfying the conditions that zf′(z)/f(z) and zg′(z)/g(z) are both subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made. |
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Keywords: | Univalent functions Bi-univalent functions Bi-starlike functions Bi-convex functions Subordination |
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